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Illusion [34]
3 years ago
10

Identify the graph that correctly represents the inequality |x + 1| + 2 >  5.

Mathematics
2 answers:
svetlana [45]3 years ago
9 0

Answer: D. The last graph

Step-by-step explanation:

NeTakaya3 years ago
8 0
|x+1|\ \textgreater \ 3

The greater than 3 means that the graph will have a shaded region for when the absolute value of (x+1) is greater than 3.

The absolute value means that we are interested in the magnitude of x+1. That means that the the graph will be shaded where x+1 > 3, and where -x-1 > 3

If we solve both of these for x, we get:

x > 2 and x < -4

So the graph will look like the attached picture. Notice that the vertical lines are dotted rather than solid. This means that we are dealing with a greater than sign, not a greater than or equal to.

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The graph of f (0) = -4 cos 0 is shown below. The range of this function is
Anika [276]

Answer:

-4 ≤ f (\theta) ≤ 4

Step-by-step explanation:

The range of a function is the allowed y-values of the function.

We can simply look at the periodic function below and see that the y-value ranges from a negative 4 to a positive 4. It oscillates betwen -4 and 4. That is the range.

We can say -4 ≤ f (\theta) ≤ 4

Last answer choice is right.

*** <u>NOTE:</u> it is a type, not "0", rather "\theta"

5 0
3 years ago
50 POINTS!!!!! PLEASE WILL MARK BRAINLIEST
kirill [66]

Answer:

  • Q11 - 12 sides
  • Q12 - 10 sides

Step-by-step explanation:

<u>Use the formula for sum of interior angles of a regular polygon:</u>

  • S = 180(n - 2)

<u>Each angle A measures:</u>

  • S/n = 180(n - 2)/n
  • A = 180(n - 2)n
  • An = 180n - 360
  • (180 - A)n = 360
  • n = 360/(180 - A)
<h3>Question 11</h3>

<u>Each angle is 150, then finding n:</u>

  • n = 360/(180 - 150)
  • n = 360/30
  • n = 12
<h3>Question 12</h3>

<u>Each angle is 144, find n:</u>

  • n = 360/(180 - 144)
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3 0
3 years ago
Read 2 more answers
Write an equation or a proportion to solve.<br> ​What number is 24% of 80?
Pepsi [2]

Answer:

19.20

Step-by-step explanation:

24%×80 = 24×80/100 = 1920/100 = 19.20

5 0
4 years ago
Read 2 more answers
A circle has a sector with area \dfrac{17}{2}\pi 2 17 ​ πstart fraction, 17, divided by, 2, end fraction, pi and central angle o
Nataliya [291]

Answer:

The area of the circle is equal to 9\pi.

Step-by-step explanation:

Given that,

The area of sector is, \dfrac{17}{2}\pi

The central angle is \dfrac{17}{9}\pi

We need to find the area of circle.

We know that,

\text{Area of sector}=\dfrac{\text{central angle}}{2\pi}\times \text{Area of circle}\\\\\text{Area of circle}=\dfrac{2\pi \times \text{Area of sector}}{\text{central angle}}\\\\=\dfrac{2\pi \times \dfrac{17\pi}{2}}{\dfrac{17\pi }{9}}\\\\=9\pi

So, the area of the circle is equal to 9\pi.

5 0
3 years ago
A unicorn’s favorite food is marshmallows. They can find other food resources, but marshmallows are their absolute favorite. Usi
Tpy6a [65]

Answer:

69813.33 marshmallow

the calories required (i.e 10,920,800 ) is greater than the energy provided (i.e 7,500,000) hence the 2 unicorns cannot survive

Step-by-step explanation:

Given:

Unicorn weights = 440 kg

Marshmallow weighs = 0.5 grams

Unicorn needs = 34 calories/kg of body weight/day

Marshmallow offers = 3 calories/gram

Calories required by Unicorn in a week

= Calories needed × Weight of unicorn × Total days in a week

= 34 × 440 × 7

= 104,720 calories

Now,

Marshmallows required = \frac{\textup{Calories required}}{\textup{Energy offered by marshmallow}}

= \frac{\textup{104,720}}{\textup{3}}

= 34906.67 grams

Therefore,

the number of marshmallows required = \frac{\textup{Mass of marshmallow required}}{\textup{Mass of marshmallow}}

= \frac{\textup{34906.67}}{\textup{0.5}}

= 69813.33 marshmallow

b) Total calories provided by the marshmallow

= 5,000,000 × 0.5 × 3

= 7,500,000 calories

and,

calories required by 2 unicorns in an year

= weight of 2 unicorn × calories needed × number of days in an year

= 2 × 440 × 34 × 365

= 10,920,800

Since,

the calories required (i.e 10,920,800 ) is greater than the energy provided (i.e 7,500,000) hence the 2 unicorns cannot survive

5 0
3 years ago
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